12182970240 has 1152 divisors, whose sum is σ = 54319749120. Its totient is φ = 2553016320.

The previous prime is 12182970223. The next prime is 12182970277. The reversal of 12182970240 is 4207928121.

12182970240 is a `hidden beast` number, since 121 + 8 + 297 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12182970195 and 12182970204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 392999025 + ... + 392999055.

It is an arithmetic number, because the mean of its divisors is an integer number (47152560).

Almost surely, 2^12182970240 is an apocalyptic number.

12182970240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12182970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27159874560).

12182970240 is an abundant number, since it is smaller than the sum of its proper divisors (42136778880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12182970240 is an equidigital number, since it uses as much as digits as its factorization.

12182970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12182970240 in words is "twelve billion, one hundred eighty-two million, nine hundred seventy thousand, two hundred forty".